Modeling of an inductively coupled system

2018 ◽  
Vol 37 (4) ◽  
pp. 1500-1514 ◽  
Author(s):  
Rafael Psiuk ◽  
Alisa Artizada ◽  
Daniel Cichon ◽  
Hartmut Brauer ◽  
Hannes Toepfer ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Vector Potential ◽  
Coupled Systems ◽  
Magnetic Flux Density ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Content Type ◽  
Primary Loop ◽  
Inductively Coupled

Purpose This paper aims to provide a flexible model for a system of inductively coupled loops in a quasi-static magnetic field. The outlined model is used for theoretical analyses on the magnetic field-based football goal detection system called as GoalRef, where a primary loop generates a magnetic field around the goal. The passive loops are integrated in the football, and a goal is deduced from induced voltages in loop antennas mounted on the goal frame. Design/methodology/approach Based on the law of Biot–Savart, the magnetic vector potential of a primary current loop is calculated. The induced voltages in secondary loops are derived by Faraday’s Law. Expressions to calculate induced voltages in elliptically shaped loops and their magnetic field are also presented. Findings The induced voltages in secondary loops close to the primary loop are derived by either numerically integrating the primary magnetic flux density over the area of the secondary loop or by integrating the primary magnetic vector potential over the boundary of that loop. Both approaches are examined and compared with respect to accuracy and calculation time. It is shown that using the magnetic vector potential instead of the magnetic flux density can decrease the processing time by a factor of around 100. Research limitations/implications Environmental influences like conductive or permeable obstacles are not considered in the model. Practical implications The model can be used to investigate the theoretical behavior of inductively coupled systems. Originality/value The proposed model provides a flexible, fast and accurate tool for calculations of inductively coupled systems, where the loops can have arbitrary shape, position and orientation.

scholarly journals 2D Analytical Model of Armature Reaction Magnetic Field Distribution in Slotless Permanent-Magnet Linear Tubular Machines

2020 ◽  
Vol 12 (2) ◽  
pp. 110-116
Author(s):  
A. Ghaffari
Keyword(s):  
Magnetic Flux ◽  
Permanent Magnet ◽  
Flux Density ◽  
Analytical Model ◽  
Vector Potential ◽  
Magnetic Flux Density ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Armature Reaction ◽  
Flux Density Distribution

This paper presents a 2D analytical model for predicting the magnetic flux density distribution in slotless permanent-magnet (PM) linear tubular (PMLT) motors due to armature reaction effects based on the sub-domain method. According to this method, the machine cross-section is divided into the six sub-regions and Maxwell partial differential equations (PDEs) are formed in each sub-region. Solving these PDEs leads to defining the magnetic vector potential in each sub-region and applying curl on the calculated magnetic vector potential results in determining the magnetic flux density components. Eventually, the extracted results are compared with those of the finite-element method (FEM) to confirm the accuracy of the described analytical model. The results reveal that the presented analytical model is a suitable candidate for predicting the magnetic flux density components of the slotless PMLT motors in a shorter time.

Transient magnetic field formulation for solid source conductors

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1539-1545
Author(s):  
Georg Wimmer ◽  
Sebastian Lange
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Vector Potential ◽  
Numerical Scheme ◽  
Eddy Currents ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Time Step ◽  
Azimuthal Component ◽  
Transient Magnetic Fields

The formulation for the azimuthal component of the magnetic vector potential for axisymmetric magnetostatic applications is well known. However for transient magnetic fields with solid source conductors and eddy currents the formulation has to be revised. A variable transformation is introduced to remove the singularity from the numerical scheme. The numerical error cannot accumulate and is put instead to the postprocessing at every time step.

scholarly journals Voltage induced by currents in power-line sagged conductors in nearby circuits of arbitrary configuration

2015 ◽  
Vol 64 (2) ◽  
pp. 227-236 ◽  
Author(s):  
Krzysztof Budnik ◽  
Wojciech Machczyński ◽  
Jan Szymenderski
Keyword(s):  
Magnetic Field ◽  
Electric Power ◽  
Power Line ◽  
Power Lines ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Inductively Coupled ◽  
The Earth ◽  
Arbitrary Configuration ◽  
Distribution Of Power

Abstract The study presents a calculation method of the voltage induced by power-line sagged conductor in an inductively coupled overhead circuit of arbitrary configuration isolated from ground. The method bases on the solution utilizing the magnetic vector potential for modeling 3D magnetic fields produced by sagging conductors of catenary electric power lines. It is assumed that the equation of the catenary exactly describes the line sag and the influence of currents induced in the earth on the distribution of power line magnetic field is neglected. The method derived is illustrated by exemplary calculations and the results obtained are partially compared with results computed by optional approach

scholarly journals Vector Potential, Magnetic Field, Mutual Inductance, Magnetic Force, Torque and Stiffness Calculation between Current-Carrying Arc Segments with Inclined Axes in Air

2021 ◽  
Author(s):  
Slobodan Babic
Keyword(s):  
Magnetic Field ◽  
Numerical Integration ◽  
Vector Potential ◽  
Magnetic Force ◽  
Analytical Form ◽  
Mutual Inductance ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Special Cases ◽  
Incomplete Elliptic Integrals

In this paper we give the improved and new analytical and semi-analytical expression for calcu-lating the magnetic vector potential, magnetic field, magnetic force, mutual inductance, torque, and stiffness between two inclined current-carrying arc segments in air. The expressions are ob-tained either in the analytical form over the incomplete elliptic integrals of the first and the sec-ond time or by the single numerical integration of some elliptical integrals of the first and the second kind. The validity of the presented formulas is proved from the special cases when the inclined circular loops are treated. We mention that all formulas are obtain by the integral ap-proach except the stiffness which is found by the derivative of the magnetic force.

The Analysis of Pressure Capability of Different Teeth Structures in Ferrofluid Seal

2010 ◽  
Vol 146-147 ◽  
pp. 1278-1284 ◽  
Author(s):  
Fei Fei Xing ◽  
De Cai Li ◽  
Wen Ming Yang
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Theoretical Model ◽  
Vector Potential ◽  
Potential Method ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Two Sides ◽  
Sealing Gap

Theoretical model of calculating magnetic field of typical ferrofluid sealing structures with magnetic vector potential method is built. Based on the theoretical model, magnetic field distribution of rectangular teeth, two-sides dilated shape and one-side dilated shape teeth structures with common other conditions were calculated using finite element method when the sealing gap was 0.1mm and 0.12mm. The comparison of their results with the same sealing gap showed that one-side dilated shape teeth structure had higher pressure capability than other shape teeth under reasonable design.

Study of the tribological properties of rolling element bearings under the effect of magnetic field

2019 ◽  
Vol 71 (10) ◽  
pp. 1200-1205
Author(s):  
Mustafa Kadıoğlu ◽  
Ertuğrul Durak
Keyword(s):  
Magnetic Field ◽  
Friction Coefficient ◽  
Magnetic Flux ◽  
Flux Density ◽  
Magnetic Flux Density ◽  
Rolling Element Bearings ◽  
Experimental Conditions ◽  
Content Type ◽  
Rolling Element ◽  
The Magnetic Field

Purpose The purpose of this study was to examine the effect of the magnetic field to the friction coefficient in the rolling element bearings which exists in electric motors. Design/methodology/approach To achieve this, the test rig was modified to adjust the density of the magnetic flux applied to the rolling ball element bearing. Experiments were carried out in the magnetic field from 0 to 7.5 mTesla at magnetic flux density range from 15, 40 and 65 N constant loads. Also, its rotary speed selected as 100, 200, 400, 800 to 1200 rpm, respectively. Findings In the majority of the experiments, it was observed that the magnetic field affected the friction coefficient. This influence reduced the friction coefficient in some experimental conditions and increased in some of them. Originality/value In the literature, there are very few studies on the effect of magnetic flux density to the friction coefficient in these rolling element bearings. It has become clear that more studies have been conducted on the effects of the magnetic field and/or electrical current on bearing damages and failures. This aspect is a study with specificity.

Characteristics of 3D magnetic field of magnetic coupling resonant wireless power transmission system

2017 ◽  
Vol 36 (6) ◽  
pp. 1806-1818 ◽  
Author(s):  
Xian Zhang ◽  
Zhaoyang Yuan ◽  
Yang Qingxin ◽  
Zhaohui Wang ◽  
Hao Meng ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Magnetic Flux ◽  
Field Measurement ◽  
Power Transmission ◽  
Magnetic Coupling ◽  
Magnetic Flux Density ◽  
Wireless Power ◽  
Content Type ◽  
The Magnetic Field

Purpose The purpose of the paper is to analyze the impact of coupling on the distribution of the magnetic field and study the characteristics of the magnetic flux density in the transmission process of the magnetic coupling resonant wireless power transmission (MCR-WPT) system, which provides guidance on the design of the WPT system. Design/methodology/approach In this study, a finite element simulation analysis was conducted and a three-dimensional (3D) electromagnetic field measurement platform was used. Findings It is shown that the distribution of the magnetic field, as well as the position of maximum magnetic flux density, will change when the coils are coupled. The simulation results of the magnetic field distribution, as well as the transmission performance, are different from those in practice. It cannot describe the actual performance of WPT system. Originality/value A 3D electromagnetic field measurement system and the host computer software are designed to help optimize the simulation and carry out more accurate and efficient research. The 3D electromagnetic field measurement system can be used to study the distribution of the spatial electromagnetic field, influencing factor, exposure and interoperability between different coils.

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